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#include <iostream>
#include <fstream>
using namespace std;
ifstream intrare("fractii.in");
ofstream iesire("fractii.out");
const long int NMAX=1000001/2+1;
int i,j;
long int n;
bool a[NMAX];
int v[NMAX];
void prime(){
///0-prim;
for(i=3;i<=n;i+=2)
if(a[i]==false)
for(j=i+i;j<=n;j+=i)
a[j]=true;
}
double long d;
double long r;
float totien(int x){
d=x;
j=2;
if(x%j==0 && a[j]==0){
r=1.0/double(j);
d*=1-r;
}
for(j=3;j<=x;j++)
if(x%j==0 && a[j]==0 && j%2!=0 ){
r=1.0/double(j);
d*=1-r;
}
return d;
}
int main()
{
long long int s=0;
intrare>>n;
prime();
for(i=2;i<=n;i++)
s+=totien(i);
s*=2;
s++;
iesire<<s;
return 0;
}